High computational demand limits the applications of two-dimensional (2D) shallow water equation models for high resolution overland flow simulations, while one-dimensional (1D) models can achieve higher computing efficiency. This study applied a 1D hydrodynamic model to surrogate 2D models for overland flow simulations on complex 2D domains. With one dimension reduced, the surrogate model simulation would have acceptable accuracy with much higher computing efficiency. The surrogating is fulfilled through mimicking 2D models in mesh generations, so that the 1D channel network is generated in such a way that it geometrically covers the whole domain without overlapping and intersection, and hydrologically follows the steepest slopes. Several benchmark cases on 2D domains in both laboratory and field scales with complex geometry, where no 1D models have been ever applied, are used to compare the 1D and 2D model simulations. The comparisons demonstrate that the 1D model does have potentials to efficiently simulate overland flow on 2D complex domains with accuracy comparable to 2D models.

中文翻译：

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一维模型在二维复杂域地表水流模拟中的应用


高计算需求限制了二维（2D）浅水方程模型在高分辨率地表水流模拟中的应用，而一维（1D）模型可以实现更高的计算效率。本研究应用一维流体动力学模型来替代二维模型，以对复杂二维域进行地表水流模拟。随着一维的减少，代理模型模拟将具有可接受的精度和更高的计算效率。通过模拟网格生成中的二维模型来实现代理，从而生成一维河道网络，使其在几何上覆盖整个域，没有重叠和交叉，并且在水文上遵循最陡的坡度。实验室和现场规模的具有复杂几何形状的二维域的几个基准案例（从未应用过一维模型）用于比较一维和二维模型模拟。比较表明，一维模型确实有潜力在二维复杂域上有效模拟陆上水流，其精度与二维模型相当。